Publication detail
Modern Methods of Mathematical Modelling of System Control
Šlapal, J. Čermák, J.
English title
Modern Methods of Mathematical Modelling of System Control
Type
Chapter in a book
Language
en
Original abstract
The paper deals with two modern mathematical methods: a method that uses differential equations with a lag to model continuous systems and algebraic methods based on the theory of polynomials to model discrete linear systems. As an analytical solution to the equations in question on cannot be found, numerical approaches are necessary. The paper investigates the qualitative properties of numeric solutions. The modern methods used to control discrete systems are based on the theory of polynomials and polynomial matrices. As polynomials do not form a field bur only a ring, other rules than those for real numbers must be used for calculation. In the case of polynomial matrices, the situation is even more complex and therefore we will focus on their investigation.
Keywords in English
Discrete systems, continuous systems, control, differential equations, polynomials
Released
2005-12-31
Publisher
Vysoké učení technické v Brně
Location
Brno
ISBN
80-214-3144-X
Book
Modelling of Mechatronics Systems I
Pages from–to
1–10
Pages count
10
BIBTEX
@inbook{BUT55583,
author="Josef {Šlapal} and Jan {Čermák}",
title="Modern Methods of Mathematical Modelling of System Control",
booktitle="Modelling of Mechatronics Systems I",
year="2005",
publisher="Vysoké učení technické v Brně",
address="Brno",
series="Fakulta strojního inženýrství",
edition="1",
pages="1--10",
isbn="80-214-3144-X"
}